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Finding the Third Proportional to 420,030 and 645,597

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Solution

The third proportional to 420,030 and 645,597 is: 992,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,030 : 645,597 = 645,597 : x
  2. Step 2: Convert to fraction form
    420,030/645,597 = 645,597/x
  3. Step 3: Cross multiply
    420,030x = 645,597 × 645,597
  4. Step 4: Simplify right side
    420,030x = 416,795,486,409
  5. Step 5: Solve for x
    x = 416,795,486,409/420,030
  6. Step 6: Final answer
    x = 992,299.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.